On ρ-Constrained Upward Topological Book Embeddings

  • Tamara Mchedlidze
  • Antonios Symvonis
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5849)

Abstract

Giordano, Liotta and Whitesides [1] developed an algorithm that, given an embedded planar st-digraph and a topological numbering ρ of its vertices, computes in O(n2) time a ρ-constrained upward topological book embedding with at most 2n–4 spine crossings per edge. The number of spine crossings per edge is asymptotically worst case optimal.

References

  1. 1.
    Giordano, F., Liotta, G., Whitesides, S.H.: Embeddability Problems for Upward Planar Digraphs. In: Tollis, I.G., Patrignani, M. (eds.) GD 2008. LNCS, vol. 5417, pp. 242–253. Springer, Heidelberg (2009)CrossRefGoogle Scholar
  2. 2.
    Mchedlidze, T., Symvonis, A.: Crossing-optimal acyclic hamiltonian path completion and its application to upward topological book embeddings. In: Das, S., Uehara, R. (eds.) WALCOM 2009. LNCS, vol. 5431, pp. 250–261. Springer, Heidelberg (2009)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Tamara Mchedlidze
    • 1
  • Antonios Symvonis
    • 1
  1. 1.Dept. of MathematicsNational Technical University of AthensAthensGreece

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